A Robust Signal Quantization System Based on Error Correcting Codes

In this paper we propose a robust representation of a digital signal based on error correction codes. For each frame of the signal (N successive samples) a binary decomposition, as a (successive power 2) weighted sum of binary vectors, is first considered. Then, each binary vector is projected into the set of codewords of a corresponding block code. The codes are designed so that their correction powers increases inversely to the weight of the binary vectors since the binary vectors with high weight are less sensitive to disturbance. The corresponding representation (decoding) thus appears as a form of signal quantization that can provide an interesting protection against noise and/or channel distorsion. Some applications showing the utility of the proposed representation are given.